In this article the principles of the field operation and manipulation (FOAM) C++ class library for continuum mechanics are outlined. Our intention is to make it as easy as possible to develop reliable and efficient computational continuum-mechanics codes: this is achieved by making the top-level syntax of the code as close as possible to conventional mathematical notation for tensors and partial differential equations. Object-orientation techniques enable the creation of data types that closely mimic those of continuum mechanics, and the operator overloading possible in C++ allows normal mathematical symbols to be used for the basic operations. As an example, the implementation of various types of turbulence modeling in a FOAM computational-fluid-dynamics code is discussed, and calculations performed on a standard test case, that of flow around a square prism, are presented. To demonstrate the flexibility of the FOAM library, codes for solving structures and magnetohydrodynamics are also presented with appropriate test case results given. © 1998 American Institute of Physics.

1.
C. A. J. Fletcher, Computational Techniques for Fluid Dynamics, Springer Series in Computational Physics Vols. I and II, 2nd ed. (Springer, Berlin, 1991).
2.
J. H. Ferziger and M. Perić, Computational Methods for Fluid Dynamics (Springer, Berlin, 1996).
3.
H. K. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method (Longman Scientific and Technical, 1995).
4.
B. W. R.
Forde
,
R. O.
Foschi
, and
S. F.
Stiemer
,
Comput. Struct.
34
,
355
(
1990
).
Google Scholar
Crossref
Search ADS
 
5.
B. Stroustrup, Proceedings of the 1st European Software Festival, 1991.
6.
B. Stroustrup, The C++ Programming Language, 3rd ed. (Addison–Wesley, Reading, MA, 1997).
7.
B. Stroustrup, OOPS Messenger, 1995, an addendum to the OOPSLA ’95 Proceedings.
8.
J. R. Cary, S. G. Shasharina, J. C. Cummings, J. V. W. Reynders, and P. J. Hinker, Comput. Phys. Commun. (submitted);
available at http://jove.colorado.edu/   ̃cary/CompCPP_F90SciOOP.html.
9.
Y.
Dubois-Pèlerin
and
Th.
Zimmermann
,
Comput. Methods Appl. Mech. Eng.
108
,
165
(
1993
).
Google Scholar
Crossref
Search ADS
 
10.
J-L.
Liu
,
I.-J.
Lin
,
M.-Z.
Shih
,
R.-C.
Chen
, and
M.-C.
Hseih
,
Appl. Numer. Math.
21
,
439
(
1996
).
Google Scholar
Crossref
Search ADS
 
11.
Th.
Zimmermann
,
Y.
Dubois-Pèlerin
, and
P.
Bomme
,
Comput. Methods Appl. Mech. Eng.
98
,
291
(
1992
).
Google Scholar
Crossref
Search ADS
 
12.
L.
Machiels
and
M. O.
Deville
,
ACM Trans. Math. Softw.
23
,
32
(
1997
).
Google Scholar
Crossref
Search ADS
 
13.
Th.
Zimmermann
and
D.
Eyheramendy
,
Comput. Methods Appl. Mech. Eng.
132
,
259
(
1996
).
Google Scholar
Crossref
Search ADS
 
14.
D.
Eyheramendy
and
Th.
Zimmermann
,
Comput. Methods Appl. Mech. Eng.
132
,
277
(
1996
).
Google Scholar
Crossref
Search ADS
 
15.
H. Jasak, Ph.D. thesis, Imperial College, 1996.
16.
O. Ubbink, Ph.D. thesis, Imperial College, 1997.
17.
C.
Fureby
,
G.
Tabor
,
H.
Weller
, and
A. D.
Gosman
,
Phys. Fluids
9
,
1416
(
1997
).
Google Scholar
Crossref
Search ADS
 
18.
S. Meyer, Effective C++ (Addison–Wesley, Reading, MA, 1992).
19.
M. R.
Hestens
and
E. L.
Steifel
,
J. Res.
29
,
409
(
1952
).
Google Scholar
 
20.
D. A. H. Jacobs, Technical report, Central Electricity Research Laboratories, 1980.
21.
H. A.
van der Vorst
,
SIAM J. Comput.
13
,
631
(
1992
).
Google Scholar
Crossref
Search ADS
 
22.
R. I.
Issa
,
J. Comput. Phys.
62
,
40
(
1986
).
Google Scholar
Crossref
Search ADS
 
23.
R. I.
Issa
,
A. D.
Gosman
, and
A. P.
Watkins
,
J. Comput. Phys.
62
,
66
(
1986
).
Google Scholar
Crossref
Search ADS
 
24.
B. E.
Launder
and
D. B.
Spalding
,
Comput. Methods Appl. Mech. Eng.
3
,
269
(
1974
).
Google Scholar
Crossref
Search ADS
 
25.
V. C.
Patel
,
W.
Rodi
, and
G.
Scheuerer
,
AIAA J.
23
,
1308
(
1985
).
Google Scholar
Crossref
Search ADS
 
26.
B. E.
Launder
,
G. J.
Reece
, and
W.
Rodi
, “
Progress in the development of a Reynolds-stress Turbulence Closure
,”
J. Fluid Mech.
68
,
537
(
1975
).
Google Scholar
Crossref
Search ADS
 
27.
J.
Smagorinsky
,
Mon. Weather Rev.
91
,
99
(
1963
).
Google Scholar
Crossref
Search ADS
 
28.
U.
Schumann
,
J. Comput. Phys.
18
,
376
(
1975
).
Google Scholar
Crossref
Search ADS
 
29.
A.
Yoshizawa
,
Phys. Fluids A
29
,
2152
(
1986
).
Google Scholar
Crossref
Search ADS
 
30.
J. W.
Deardorff
,
Trans. ASME, Ser. I: J. Fluids Eng.
156
,
55
(
1973
).
Google Scholar
 
31.
J. Bardina, J. H. Ferziger, and W. C. Reynolds, Technical Report No. TF-19, Stanford University, 1983.
32.
G.
Erlebacher
,
M. Y.
Hussaini
,
C. G.
Speziale
, and
T. A.
Zang
,
J. Fluid Mech.
238
,
155
(
1992
).
Google Scholar
Crossref
Search ADS
 
33.
D. Lyn, S. Einav, W. Rodi, and J. Park, Technical report, Karlsruhe University, 1994.
34.
D. F. G.
Durao
,
M. V.
Heitor
, and
J. C. F.
Pereira
,
Exp. Fluids
6
,
298
(
1988
).
Google Scholar
Crossref
Search ADS
 
35.
M. M.
Gibson
and
B. E.
Launder
,
J. Fluid Mech.
86
,
491
(
1978
).
Google Scholar
Crossref
Search ADS
 
36.
V.
Yakhot
,
S. A.
Orszag
,
S.
Thangam
,
T. B.
Gatski
, and
C. G.
Speziale
,
Phys. Fluids A
4
,
1510
(
1992
).
Google Scholar
Crossref
Search ADS
 
37.
I.
Demirdžić
and
S.
Muzaferija
,
Int. J. Numer. Methods Eng.
37
,
3751
(
1994
).
Google Scholar
Crossref
Search ADS
 
38.
I.
Demirdžić
and
S.
Muzaferija
,
Comput. Methods Appl. Mech. Eng.
125
,
235
(
1995
).
Google Scholar
Crossref
Search ADS
 
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© 1998 American Institute of Physics.
1998
American Institute of Physics